{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "5d904dee",
   "metadata": {},
   "source": [
    "# Example 4: Classification"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "31bcb9ac",
   "metadata": {},
   "source": [
    "## Regression formulation\n",
    "\n",
    "Let's first treat the problem as a regression problem (output dimension = 1, MSE loss). "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "908489de",
   "metadata": {},
   "source": [
    "create the two moon dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "763d1fb4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "cuda\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f3839ef1c10>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kan import *\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets import make_moons\n",
    "import numpy as np\n",
    "\n",
    "device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')\n",
    "print(device)\n",
    "\n",
    "dataset = {}\n",
    "train_input, train_label = make_moons(n_samples=1000, shuffle=True, noise=0.1, random_state=None)\n",
    "test_input, test_label = make_moons(n_samples=1000, shuffle=True, noise=0.1, random_state=None)\n",
    "\n",
    "dtype = torch.get_default_dtype()\n",
    "dataset['train_input'] = torch.from_numpy(train_input).type(dtype).to(device)\n",
    "dataset['test_input'] = torch.from_numpy(test_input).type(dtype).to(device)\n",
    "dataset['train_label'] = torch.from_numpy(train_label[:,None]).type(dtype).to(device)\n",
    "dataset['test_label'] = torch.from_numpy(test_label[:,None]).type(dtype).to(device)\n",
    "\n",
    "X = dataset['train_input']\n",
    "y = dataset['train_label']\n",
    "plt.scatter(X[:,0].cpu().detach().numpy(), X[:,1].cpu().detach().numpy(), c=y[:,0].cpu().detach().numpy())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "06649143",
   "metadata": {},
   "source": [
    "Train KAN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "0a59179d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "| train_loss: 1.55e-01 | test_loss: 1.56e-01 | reg: 3.94e+00 | : 100%|█| 20/20 [00:01<00:00, 15.55it"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(1.0, 0.9980000257492065)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model = KAN(width=[2,1], grid=3, k=3, device=device)\n",
    "\n",
    "def train_acc():\n",
    "    return torch.mean((torch.round(model(dataset['train_input'])[:,0]) == dataset['train_label'][:,0]).type(dtype))\n",
    "\n",
    "def test_acc():\n",
    "    return torch.mean((torch.round(model(dataset['test_input'])[:,0]) == dataset['test_label'][:,0]).type(dtype))\n",
    "\n",
    "results = model.fit(dataset, opt=\"LBFGS\", steps=20, metrics=(train_acc, test_acc));\n",
    "results['train_acc'][-1], results['test_acc'][-1]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2d92afc4",
   "metadata": {},
   "source": [
    "Automatic symbolic regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ec64a6b4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "fixing (0,0,0) with sin, r2=0.9654733538627625, c=2\n",
      "fixing (0,1,0) with x, r2=0.975755512714386, c=1\n",
      "saving model version 0.2\n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle - 0.853 x_{2} - 0.3885 \\sin{\\left(3.1242 x_{1} - 1.5464 \\right)} + 0.7063$"
      ],
      "text/plain": [
       "-0.853*x_2 - 0.3885*sin(3.1242*x_1 - 1.5464) + 0.7063"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lib = ['x','x^2','x^3','x^4','exp','log','sqrt','tanh','sin','tan','abs']\n",
    "model.auto_symbolic(lib=lib)\n",
    "formula = model.symbolic_formula()[0][0]\n",
    "ex_round(formula, 4)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cee6c7c8",
   "metadata": {},
   "source": [
    "How accurate is this formula?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "dd5226ea",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "train acc of the formula: tensor(0.9980, device='cuda:0')\n",
      "test acc of the formula: tensor(0.9970, device='cuda:0')\n"
     ]
    }
   ],
   "source": [
    "# how accurate is this formula?\n",
    "def acc(formula, X, y):\n",
    "    batch = X.shape[0]\n",
    "    correct = 0\n",
    "    for i in range(batch):\n",
    "        correct += np.round(np.array(formula.subs('x_1', X[i,0]).subs('x_2', X[i,1])).astype(np.float64)) == y[i,0]\n",
    "    return correct/batch\n",
    "\n",
    "print('train acc of the formula:', acc(formula, dataset['train_input'], dataset['train_label']))\n",
    "print('test acc of the formula:', acc(formula, dataset['test_input'], dataset['test_label']))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8a77c90a",
   "metadata": {},
   "source": [
    "## Classification formulation\n",
    "\n",
    "Let's then treat the problem as a classification problem (output dimension = 2, CrossEntropy loss). "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b03f2dd0",
   "metadata": {},
   "source": [
    "Create the two moon datatset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "71c1d738",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f383010d5b0>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kan import KAN\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets import make_moons\n",
    "import torch\n",
    "import numpy as np\n",
    "\n",
    "dataset = {}\n",
    "train_input, train_label = make_moons(n_samples=1000, shuffle=True, noise=0.1, random_state=None)\n",
    "test_input, test_label = make_moons(n_samples=1000, shuffle=True, noise=0.1, random_state=None)\n",
    "\n",
    "dataset['train_input'] = torch.from_numpy(train_input).type(dtype).to(device)\n",
    "dataset['test_input'] = torch.from_numpy(test_input).type(dtype).to(device)\n",
    "dataset['train_label'] = torch.from_numpy(train_label).type(torch.long).to(device)\n",
    "dataset['test_label'] = torch.from_numpy(test_label).type(torch.long).to(device)\n",
    "\n",
    "X = dataset['train_input']\n",
    "y = dataset['train_label']\n",
    "plt.scatter(X[:,0].cpu().detach().numpy(), X[:,1].cpu().detach().numpy(), c=y[:].cpu().detach().numpy())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "494fe1d3",
   "metadata": {},
   "source": [
    "### Train KAN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "13ec74e5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "| train_loss: 0.00e+00 | test_loss: 2.37e-01 | reg: 4.10e+02 | : 100%|█| 20/20 [00:01<00:00, 18.81it"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "model = KAN(width=[2,2], grid=3, k=3, seed=2024, device=device)\n",
    "\n",
    "def train_acc():\n",
    "    return torch.mean((torch.argmax(model(dataset['train_input']), dim=1) == dataset['train_label']).type(dtype))\n",
    "\n",
    "def test_acc():\n",
    "    return torch.mean((torch.argmax(model(dataset['test_input']), dim=1) == dataset['test_label']).type(dtype))\n",
    "\n",
    "results = model.fit(dataset, opt=\"LBFGS\", steps=20, metrics=(train_acc, test_acc), loss_fn=torch.nn.CrossEntropyLoss());"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e36b0f3",
   "metadata": {},
   "source": [
    "Automatic symbolic regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "91b4c228",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "fixing (0,0,0) with x, r2=0.48220324516296387, c=1\n",
      "fixing (0,0,1) with x, r2=0.3202315866947174, c=1\n",
      "fixing (0,1,0) with x, r2=0.9358773231506348, c=1\n",
      "fixing (0,1,1) with x, r2=0.9290410876274109, c=1\n",
      "saving model version 0.2\n"
     ]
    }
   ],
   "source": [
    "lib = ['x','x^2','x^3','x^4','exp','log','sqrt','tanh','sin','abs']\n",
    "model.auto_symbolic(lib=lib)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "83606957",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle - 15.0316 x_{1} + 177.9349 x_{2} - 63.0716$"
      ],
      "text/plain": [
       "-15.0316*x_1 + 177.9349*x_2 - 63.0716"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "formula1, formula2 = model.symbolic_formula()[0]\n",
    "ex_round(formula1, 4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "9fa988e3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 60.4718 x_{1} - 156.0295 x_{2} + 16.9$"
      ],
      "text/plain": [
       "60.4718*x_1 - 156.0295*x_2 + 16.9"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ex_round(formula2, 4)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0cfce819",
   "metadata": {},
   "source": [
    "How accurate is this formula?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "ecd368f8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "train acc of the formula: tensor(0.8870, device='cuda:0')\n",
      "test acc of the formula: tensor(0.8810, device='cuda:0')\n"
     ]
    }
   ],
   "source": [
    "# how accurate is this formula?\n",
    "def acc(formula1, formula2, X, y):\n",
    "    batch = X.shape[0]\n",
    "    correct = 0\n",
    "    for i in range(batch):\n",
    "        logit1 = np.array(formula1.subs('x_1', X[i,0]).subs('x_2', X[i,1])).astype(np.float64)\n",
    "        logit2 = np.array(formula2.subs('x_1', X[i,0]).subs('x_2', X[i,1])).astype(np.float64)\n",
    "        correct += (logit2 > logit1) == y[i]\n",
    "    return correct/batch\n",
    "\n",
    "print('train acc of the formula:', acc(formula1, formula2, dataset['train_input'], dataset['train_label']))\n",
    "print('test acc of the formula:', acc(formula1, formula2, dataset['test_input'], dataset['test_label']))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "82b2337e",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
